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Finding the Third Proportional to 356,726 and 522,291

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Solution

The third proportional to 356,726 and 522,291 is: 764,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,726 : 522,291 = 522,291 : x
  2. Step 2: Convert to fraction form
    356,726/522,291 = 522,291/x
  3. Step 3: Cross multiply
    356,726x = 522,291 × 522,291
  4. Step 4: Simplify right side
    356,726x = 272,787,888,681
  5. Step 5: Solve for x
    x = 272,787,888,681/356,726
  6. Step 6: Final answer
    x = 764,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.